Atkin-Lehner |
2+ 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
34200q |
Isogeny class |
Conductor |
34200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
831060000000000 = 211 · 37 · 510 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-549075,-156595250] |
[a1,a2,a3,a4,a6] |
j |
784767874322/35625 |
j-invariant |
L |
1.403081204925 |
L(r)(E,1)/r! |
Ω |
0.17538515061638 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68400bw4 11400bh4 6840m3 |
Quadratic twists by: -4 -3 5 |